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Which of the following is true? The sampling distribution of Xbar is the theoretical distribution of all possible means calculated from all possible samples (of

Which of the following is true?

  1. The sampling distribution of Xbar is the theoretical distribution of all possible means calculated from all possible samples (of the same size) drawn from apopulation.
  2. The variance of the sampling distribution of the sample mean Xbar is larger than the variance of the variable X in the original population.
  3. As the sample size increases the variance ofthe distribution of the sample mean also increases.
  4. The sampling distribution of Xbar has the same shape, mean and standard deviation as the variable X inthe population.

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